Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment
Joint Authors
Fan, Shengming
Wong, Patricia J. Y.
Wu, Chunqing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study two discrete predator-prey models in patchy environment, one without dispersal corridors and one with dispersal corridors.
Dispersal corridors are passes that allow the migration of species from one patch to another and their existence may influence the permanence of the model.
We will offer sufficient conditions to guarantee the permanence of the two predator-prey models.
By comparing the two permanence criteria, we discuss the effects of dispersal corridors on the permanence of the predator-prey model.
It is found that the dispersion of the prey from one patch to another is helpful to the permanence of the prey if the population growth of the prey is density dependent; however, this dispersion of the prey could be disadvantageous or advantageous to the permanence of the predator.
Five numerical examples are presented to confirm the theoretical results obtained and to illustrate the effects of dispersal corridors on the permanence of the predator-prey model.
American Psychological Association (APA)
Wu, Chunqing& Fan, Shengming& Wong, Patricia J. Y.. 2014. Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033548
Modern Language Association (MLA)
Wu, Chunqing…[et al.]. Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1033548
American Medical Association (AMA)
Wu, Chunqing& Fan, Shengming& Wong, Patricia J. Y.. Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1033548
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033548